45968640 has 72 divisors (see below), whose sum is σ = 146824608. Its totient is φ = 12257280.

The previous prime is 45968627. The next prime is 45968641. The reversal of 45968640 is 4686954.

It is a super-2 number, since 2×45968640² = 4226231726899200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45968592 and 45968601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45968641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2146 + ... + 9825.

Almost surely, 2^45968640 is an apocalyptic number.

45968640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45968640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73412304).

45968640 is an abundant number, since it is smaller than the sum of its proper divisors (100855968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45968640 is a wasteful number, since it uses less digits than its factorization.

45968640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11995 (or 11981 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 45968640 is about 6780.0176990919. The cubic root of 45968640 is about 358.2233451267.

The spelling of 45968640 in words is "forty-five million, nine hundred sixty-eight thousand, six hundred forty".